camera alarm system, motion detecting security lights at the front and rear of the building, stickers in the windows letting people know you have a visual recording alarm system. All act as a slight deterrent.
Camera-doorbell. Small yappy dog. Prickly hedges along boundary walls. Vandal grease on climbable areas. alarm window locks that go off when window is opened. All more slight deterrents.
No valuables out on display, ever. If it can been seen through a window, it's a temptation. Keeping 'mens' items around the house: a set of dumbbells, a man's jacket hanging in the hallway, two or three cups left on the dish-drainer, etc. You're less likely to be targeted IF whoever peeps in thinks a man lives there/you don't live alone.
plastic film on the windows: means windows don't just smash, quickly. again, small window alarms so if windows are smashed, you know. You can buy systems that link to your phone so you can be 'on guard'.
never leaving doors or windows open unattended. whenever you leave a room, even if you're just going for a pee, lock the door and the window. decent bolts, top and bottom, on all your doors. internal locks on room doors so that when you go out, you can 'lock' doors, so if somebody does get in, they can't flit around the house helping themselves to things. Don't buy those lil fiddly bathroom door type locks; you want proper iron hooks and hasps, or heavy duty bolts, well drilled into doors. Make life hard for anyone who does think of targeting you.
Keeping the curtains closed (see above). Using timer lights and plugs when you're out/out late. Keeping a radio on, at all times, talk radio, low volume. (fewer people will break in IF they think there's somebody in the house).
Keeping a pair of large mens' shoes, work boots or trainers near the front door (burglars are less likely to target you IF they think there's a burly man in the house). Saying hello/goodbye to 'men' when you leave or enter your house. 'bye Michael', 'Michael, I'm home', etc.
All of those can cut your risk a little.
Talking to your neighbours, if you share an entrance or doorway, being mindful of making sure door is closed, never wedged open, never left unattended, never letting anyone else get in the building, taking your bins out ONLY on bin day, bringing them back in as soon as possible, all can help a little, too. People can go through your bins, work out who you are, use the bins as ladders to gain access to windows, etc. Don't make life easy for them.
Making sure there's nothing left in your garden that can be used as a burglar tool. So, brooms, long canes, spades, hoes, anything somebody can use to pry open a door or stand on to get in a window, etc: keep all that in the house.
How about a neighbourhood watch group? Everyone gets together, draws up a rota, and patrols the area in pairs. Everyone does one 'duty' a month.
Get to know your neighbours. Who lives where, who visits who, etc. Be vigilant. Anything out of the ordinary? Take a photo, and report it.
Seeing anything suspicious in the neighbourhood? Stones or chalk-marks by your or your neighbours' door, strange graffiti, writing in the snow? Photo and phone the law.
Yes, all this seems... hard work? But if you do all this, opportunistic burglars will move onto a house that's easier to get into.
As for the dog walking/being worried about mugging? Try to go out with a neighbour if you can. Don't go out too early or too late. Stick to main roads, don't go off the beaten track. Try to vary your route where possible. Buy a loud rape alarm. They make a lot of noise, which most muggers don't like. If somebody mugs you, give them your shit. Never keep anything in your bag that says where you live. Don't have a big bunch of keys with you; just your front door keys, makes it easier to replace the locks if your keys go. Buy a shitty £10 phone you don't mind losing. Don't keep much money or any cards in your 'dog walking' purse. Don't wear expensive jewellery. Walk with a big stick. All of that can help.
But, you should be able to contact the police and see if they have an 'officer' who'll look around your house and give you some tips. See what they come up with.