That means nothing out of context.

I'll take it from here is where you are acknowledging the work the other person has done, but are saying that you will take control or responsibility from this point on. For example, during a shift change: I put the pies in the oven twenty minutes ago. Thanks, I'll take it from here. The person has the information needed and now is able to take over and look after the pies. It can also be used if someone senior arrives on scene e.g. at a crime scene and a detective arrives to take over from a uniformed officer. Officer: I've secured the crime scene and taken everyone's names. Detective: I'll take it from here. I'll take it from there is the same concept, but at a specified point in the future. For example: Put the pies in the oven and I'll take it from there. The person will take responsibility for the pies once they are in the oven. We'll take it from there is different in that it is uncertain what we will do at a point in the future and we may want to wait until that point to see how things are before making a decision. How many cakes should I order for the event? Let's see how many people RSVP and we'll take it from there. It also can be used in a non committal way, for example if an over excited child wants to order an entire series of language learning books: Dad, can we order the whole set of books? Let's see how you get on with the first book and we'll take it from there.

Alright then check out the following abstract "I’ll tell you what, I can get you some hamsters and we’ll take it from there" - what is then the meaning?

This can be expressed as either Take it from here or there. Literal meaning: Continue from a certain point onward. Examples: 1. I've done what I could with correcting the blatant errors; you'll have to take it from here. 2 .New guy at job - "Hey, I transfered the account to Mrs. Jennings like you told me to!" Boss - "WHAT?! I told you to transfer the funds to Mr. Jennings?! I'll take it from here." 3. Your English seems pretty good. So I'll end my answer to this question, and you can take it from here. :)