Most competent general garages could do routine suspension/steering work on standard cars. But it can be 'heavy duty' work and some may prefer to avoid it.
I no longer have a favourite 'go to' garage even in my home town. I seldom need one , and staff change so quickly.
I now tend to chose a garage based on how I am received. Not slick talking receptionists with corporate targets to meet. , but whether staff seem genuinely friendly and knowledgeable ( Its not always true that if you want something done ask a busy person.) It helps that I know a bit about cars and can usually detect when I am being fed a load of ,erm, male bovine poo, . But they all do it to some extent so its not a definite no no.
If having to chose I'd look at Stop/ steer/tyre type depots, preferably one with an MOT testing facility. MOT failures bring them a lot of such work, and they can often quote accurately and fit you in quickly. It helps if they havnt 'got you over a barrell' having to get an MOT repair.
I'd prefer a smaller independent type place. The big well Known chains tend to be very 'corporate' minded with slick management speak, targets to meet etc.
