5 days is a bit long unless your visiting relatives. It's a great city break though and good for a weekend.
If you want to do a sightseeing tour, leave it until a Sunday. We've backward laws on things to do on a Sunday (no bookies for instance) and the shops only open for 4 hours so Sunday is the best time to take it in. Also remember there is no 24 hour drinking and pubs shut at midnight, nightclubs go on to 2.
Can't help for hotels other than trip advisor. Stay close to the city centre though, there are hotels all over the city but you will be spending your time around the pubs and shops near the city hall. It might be a false economy if your taxiing/ bussing all the time.
Free stuff: Ulster Museum, Botanic Gardens and the Palm House. You could spend an easy 1/2 a day around here, plenty to see an do.
City Hall. It's free entry. I've been in the City Hall but never from walking in off the Street.
Titanic Quarter. Most of this is free although it's a large area, still under developement. The shipyear is still a working yard.
Cave Hill Country Park. A nice walk here and great views of the city but it's a hefty climb.
I'm sure you'll do the usual touristy stuff that I usually avoid. I still haven't been to the Titanic Museum for instance.
There are some touristy pubs like the Crown Bar but try going off the beaten track where the locals would more likely be.
Christmas markets will be on but these are small, pricey and busy. I'm sure I'll sample these for a night before XMas
All of the city is perfectly safe despite our problems. You would have to go out of your way to find any trouble rather than stumble into it. It's only each other we hate Tourists are made most welcome.
As your here for 5 days you should take in a Giants Causway tour. If you like your Whiskey, try combining it with a Bushmills distillery tour. The Mourne Mountains is also beautiful although much nicer in the Summer.
I'm sure I'll think of others/ someboy else will chip in.
I live in the city. 5 days is a bit long unless your visiting relatives. It's a great city break though and good for a weekend.If you want to do a sightseeing tour, leave it until a Sunday. We've backward laws on things to do on a Sunday (no bookies
Black Taxi tours of the city will take you to scenes of famous flashpoints/incidents associated with the troubles ... quite a few of these taxis are driven by 'ex'-paramilitary guys who participated in the incidents and they are very informative and you will be perfectly safe. Just google Black Taxi tours. Good central hotel to stay is Benedicts, Bradbury Place, not sure of prices but there are also Jury's, Premier Inn, Travelodge and Ramada Encore and plenty more if you google, all centrally located. If money is no object then the Merchant is the place for you. Loads of very good restaurants and pubs again if money no object some Michelin starred like Deanes if you're into your food. Pub grub is usually of a very high standard and reasonable. As ovalman said shops are open 1-6 pm on Sundays. There are other tours like Game of Thrones locations and Belfast Open-top bus tours. Take a day to see North Coast and take the breath-taking drive up the Antrim Coast Road and you can do the Giants Causeway and Bushmills Distillery at the same time. Like all cities there are areas to avoid especially at night, so unless you know what you're doing probably best to stay in City Centre at night although East and South Belfast are perfectly safe. Reasonably safe in most areas during the day but just a wee word of warning if you're in one of the more volatile areas you will know by the murals, flags and graffiti don't be tempted to go into the local pubs as the locals tend to distrust strangers - a throwback to the troubles. But again as ovalman said the vast majority of people are very friendly and helpful. Have a good one ...
Black Taxi tours of the city will take you to scenes of famous flashpoints/incidents associated with the troubles ... quite a few of these taxis are driven by 'ex'-paramilitary guys who participated in the incidents and they are very informative and