Hi there, I'm new to this forum and I hope someone can help me out.

I have recently moved to the UK and I like to cycle. I'm looking for a bicycle with a small budget.

I would maily use the bike for commuting between home and work. For this reason, I think I would like to have mud-guards on the front and rear (and possibly a cargo-rack), te be able to get to work without getting too dirty. The roads are generally good (asphalted), but sometimes, I'll have to take the side-walk and some of the roads are badly maintained (i.e. a pure road bike will probably damage quickly). Furhtermore, it will be slightly uphill and downhill and one way will take about 40mins (google-maps). This will on average be twice a week.
Every once in a while I would also like to us the bike to just tour into the country (yes, it's in Scotland) on a Sunday. This will likely be once every two months.
Based on this, I am thinking about getting a hybrid bike, a touring bike or a cyclocross bike.

Now I have three main questions:
1. what type of bike would you advice (any others that I'm overlooking, advantages, disadvantages)?
2. do you have examples in or around Aberdeen for GBP 150-200?
3. what size of frame and wheels should I have, if I'm 1.82m tall (6.0')

A lot of questions, I know, but hopefully you can help me out!
Thanks in advance!

Crispijn