It's so hard to find reliable homes for baby rodents.
The first thing to do is to trust your instincts. If the adopter doesn't feel trustworthy, it's better to keep your babies yourself.
I'm assuming this is an accidental litter and you're looking to find homes for a one time litter, but if not and you plan on breeding more, don't breed unless you have homes lined up for any babies first. That's one of the harder things that quality breeders have to work hard to achieve. It's done by lots of legwork and advertizing, and most importantly by developing a good presence and reputation. Otherwise you get overwhelmed with unwanted babies.
The first thing you can do now is price them high enough over the going rate of snake food to discourage people wanting feeders. I don't know about hamsters, as I'm a rat person, but just to give you an idea, for rats in my area, pet store feeders go for $1-5 dollars. Store bought pets go for $10-15. Breeder and rescue rats go for $20.
At that price, they typically come with the assurance that the adoptees have been worked with frequently and are hand tame. You'll have to do research to find out when and how it's safe to start handling hamsters. Rats, you can do it from birth, with the key socialization window coming the day their eyes are open. Mice, if you start too soon, the mother will often eat the babies.
Another thing you can do is require that an adopter fill out a questionnaire like they would for any larger animal adoption. This serves two purposes. It weeds out people who are impulse purchasing and don't want to fool with such 'nonsense'. Two, well placed questions can educate the potential adopter on aspects of rodent care they might not be aware of, or hadn't thought important. I can share with you the questionnaire provided to me when I applied for adoption. Do your own research with hamster breeders to see if you can find info on how those breeders do this. You will often find breeder sites and forums online. They may even be willing to answer questions if you ask. They are home hobby breeders and aren't paid a profit, so they have a reason that is in the rodent's best interest for doing this.
So, rat questionnaire. This is worded specifically for the unique needs of rats. Hamsters may and probably do have entirely different additional requirements:
Full Name: Will/do you provide stimuli (toys, treats, hammocks, etc) for your rats inside of their cage?
City & State of Residence:
What is the best way to contact you?
Are you over 18 years of Age:
How many rats are you planning to adopt?
Are you seeking males, females, or both?
Do you have any preferences as far as color, markings, ear type, coat type?
Which rats or litters are you interested in?
How did you hear about us?
What made you decide to adopt a rat from my rattery?
Have you reviewed the adoption policies and agree to them?
Do you (please check one): Own, rent, other?
Are you currently employed?
Approximately how many hours are you away from your home each week (include work, school, etc)?
Are there children (individuals under the age of 18) in your household? If so, what are their ages?
If you answered yes, please describe the child’s interaction with any animals in your home:
What other animals other than rats do you own (please be specific and also list the breed(s) if applicable)?
Do you currently use a veterinarian for all your pets?
Please list the name of your vet, their phone number and address:
Does this veterinarian treat rats/mice?
Does your vet provide 24-hour emergency service?
Please list at least two references who are familiar with the way that your take care of your animals:
(Please note that any or all of your references may be contacted if needed in determining adoption suitability)
Name Address Phone Email
Have you ever owned rats in the past?
What got you interested in rats?
Have you ever had to sell, give away, or surrender one of your animals to a shelter?
If yes, please explain:
Have you, or anyone else in your household, ever been accused or convicted of animal cruelty (neglect or abuse)?
If yes, please explain:
Basic Care Questions
Please describe the method with which you plan on transporting your new rats:
If you can no longer keep or care for your rat(s), what will you do with them?
Are you willing to notify me in a timely manor about any health or temperament that may occur with your new rats?
Do you plan on breeding your rats or are you currently already breeding your rats?
Please describe the cage(s) that you will use or already use for your rats (include brand, how many levels, if powder-coated or galvanized, wire spacing, etc):
What kind of bedding will/do you use?
What will/do you feed your rats (include food brands where applicable, how much, how often and how they are fed):
How often will/is the cage(s) cleaned and the bedding changed?
How much time will/does each rat get out of the cage each day?
Describe what their playtime will be/is like:
Here's a link to this breeder's adoption policies. Some of it is to educate, some of it is to screen, some of the policies are gears specifically to help this breeder with record keeping on health and history of her lines. http://www.pxrats.com/policy.html
Odds are though just pricing them well, and requiring certain information from the adopter, while it will cut down on your prospects, will also weed out the vast majority of the undesirables. People who complain or try to pressure you are viewing the animals as commodity acquisition at best and not as potential family pets.
Hope this helps. Good luck!