I use tarpauline over my hutch, bought them from Poundland for £1. I only put it over the hutch, & jst at nights and when it's bad weather during day. At night I put a folded fleece blanket under the tarpauline (jst in the winter time) across where the wire mesh door is, to keep it cosy and draft free.
Is the run attached to the hutch so they have permanent access to it? As long as they can run into their cosy hutch if they'r not keen on the weather, it's not so bad. I jst have a big sheet of ply which I put on the top of my run to stop any rain getting in, have the back covered with tarpauline, and the othr 3 sides open for fresh air.
I bought the RSPCA bunny care book, and it says the best feeding pattern is morning and evening as this is when they would naturally eat most in the wild, so I give pellets in the morning (I feed excell, 2 handfuls between 2 2kg bunnies per day, but follow the feeding guide on the bag or ask the rescue what they'v been getting there) & veg at night, about 3 decent sized handfuls. Hard food like brussels sprouts r good as thy r good for teeth, as is a whole carrot or apple (with the core & seeds removed) but them only once a week max as they r sweet and so not so good for them that way. Remember to feed a variety. I only feed 1 veg per evening, maybe 2, but they never get the same veg 2 nights in a row. They are also graze eaters during the day and night and must have as much hay as they want. U will soon get 2 know how much this is, as u will with which veggies they like.
I put woodshavings all over the floor of the hutch, in their litter tray a thin layer of cat litter (check on the bag that it is safe for rabbits first) then woodshavings then some hay, & loads of hay in their bed. Obv they need less bedding in summer time.
I put loads of hay in their bed, some in a rack in their living area, & a litter tray in their run with some in their too. It's good in litter tray as they tend 2 poo when they r munching so it helps teach them 2 use litter tray.
These r some sites I used when I first got my bunnies:
http://www.fuzzy-rabbit.com/
http://www.houserabbit.co.uk/rwf/articles/feeding.htm
http://www.rabbit.org/faq/index.html
http://www.springlodgevet.co.uk/buyrabbits.html
http://www.houserabbit.co.uk/rwf/articles/safefoods.htm
this one is really interesting and helps u understand wht ur bunnies r trying 2 tell u
http://www.muridae.com/rabbits/rabbittalk.html
hope that helps, and remember people on here will always answer any q's u have