Andorra La Vella
You should be able to walk around most of Andorra la Vella. The town is really in two parts. There is the newer section at the North end of the town that is very commercial with lots of shops. The other half is the older half, down across the river and to the South and West. This also has quite a number of shops and places to eat and also the historic part.
If you stay in either of these areas, you can easily cover on foot, but walking from the end of one half to the other will take a good half hour or more, so it is worth taking the local bus which is cheap. Be sure to read the timetable and routes carefully on the bus stop.
The best bargains can be got in electronic goods and jewellery. High cost items tend to be cheaper than anywhere else because of the low tax.
The great thing about the electronic goods like digital cameras is that there are a huge range of shops and a huge stock range, so you really get to see all the different makes and models.
Some of the larger shops seem to stock a lot of brand label clothing. Don't miss out on the Via Moda Group.... especially during sales.
There are loads of ski gear shops. The best advice is to shop around.
Pyrenees department store is at the southern end of Avinguda Meritxell. There are various family friendly restaurants, a large electronic goods floor, designer label floors, and a supermarket notable for interesting Andorran and Spanish specialty foods and red wines.
There are a number of reasonably priced restaurants, although many of them tend to be Italian food of pizza and pasta. Gourmets will naturally find good addresses with the prices to go with them. Beware!!!! You find almost nothing open after 10:30p.m. so plan ahead! El Vesuvio in nearby La Massana serves Italian and Moroccan food until 12am.
Drink and spirits especially are very good value in the supermarkets. Especially at the Hyper Andorra.
Andorra la Vella is not a bad location if you want to go skiing because you can get either the local bus or the "Snow" bus up to most of the ski resorts. Most hotels during the ski season should have details.
The old town is worth visiting. It is up on the hill to the West and South of the main modern part of the town. It is quite old and quaint. You should cover it in about 2 or 3 hours.