Welcome to the forum! How cool to be out on a hunt - looking to bag the next round of family adventures (called a camping rig)!
I noted from your post that you are looking at some fairly large/heavy rigs - the GD Reflection starts with GVWR's in the 12K range and most of the hitch weights are 2K and up. Those trailers are likely to need 1 ton and up tow vehicles.
So, as you shop, take a photocopy of your white & yellow payload sticker from your tow vehicle. It has the only "numbers" you can count on - the salesmen will tell you your truck "will pull anything on the lot" - they are interested only in selling you a trailer. If you are not familiar with how to make sure your truck can SAFELY pull a trailer, post the information back here and we will gladly provide you with guidance.
Best of luck on your hunt!
Your family will have great fun camping - just make sure your new trailer be safely towed by your truck.