Any bunny can become a house bunny
but house bunnies aren't for everyone! There are a few issues you will need to consider before deciding whether house bunnies are for you. The most important thing to consider is whether you could stick it out till Spring even if you encountered problems -if you bring them inside, even for a couple of days, they will start to shed their winter coat, and so they'll need to stay indoors till April at the earliest, as they won't have protection from the cold.
The other two main issues are mess and destruction. You will always have a messy house - hay just gets everywhere. And if they chew their hutch they will probably damage your furniture, not to mention electrical cables and carpets.
If you think that you can cope with the above and not get frustrated with the bunnies, then the first thing you will need to do is to consider the space that you can give them. Indoor rabbits need just as much space as outdoor rabbits, and most house-bunny owners achieve this by either bunny-proofing a room and having the bunny free-range 24/7 (cage-free) or by having a large cage/pen that their bunny comes out of for supervised play every day. There is a sticky thread on indoor housing that explains the different choices of housing, as the standard pet shop indoor cages don't meet welfare guidelines.
Sawdust isn't generally recommended anymore as it is linked to respiratory and organ health problems, plus it is also extremely messy! There are lots of alternatives available, I use rabbit-safe cat litter made from paper or wood (note - most other types of cat litter (clumping, clay, silica etc) are dangerous to rabbits), as this doesn't stick to fur or get kicked out often. This is what I use in litter trays, topped with hay of course, and for the remaining flooring they just have lino or carpet. Unfortunately you'll always have to put up with the mess from the hay, as they do need to eat lots of it, but you can help control it a little by using a fairly deep litter tray like an underbed storage box. I'd also recommend getting a powerful hoover that is easy to use and easy to unblock the hose, because you will need to use it a lot!
Unless you have a spare bedroom that you're willing to convert into the bunnies' room, you will need to redesign your living space around the bunnies, to both give them the space they need and protect your furniture & wires, so it will take over your life a bit, but personally, for me, it is worth it. I just enjoy having them around a lot more and you get to spend a lot more time with them than you do if they are outdoors.
Do lots of research, ask all the questions you can think of, and if you are 100% sure you want them inside, go for it! If you're not completely sure, don't worry, just wait till April to bring them in, then at least if you do find they're less trouble outside, you have till September to put them back out.