Auto repair shop : suspension

I’m looking for a trustworthy place with reasonable pricing for a suspension repair on my Toyota. I did a suspension inspection today and the cost is quite high (I don’t really know a lot about cars). We are new to this area so we don’t know many places.

I paid $80 for the inspection and got the quote on what needs to be fixed. I’m wondering if it’s fine to ask the other repair shops for price comparison or they would get offended?.