Internet research on available .com domain names to my website

Hello, experienced internet researchers!

I'm looking for someone to actively search for an available domain name for my coaching website.
Even though I'm located in Budapest, Hungary I would like to register a .com website as I would like to attract clients from the US, Canada, Australia and the UK as well.

Unfortunately the best site names are taken - most of them are not used as a professional coaching website but rather owned by domain merchants who ask several hundreds of dollars for a nice sounding domain name. That's where you step in: brainstorm cool names for a coaching website (alone, you don't have to check with me), and test their availability.
Therefore the 2 needed skills are creativity and diligence - to find potential catchy names for a coaching website and check whether that name is available or not. It shouldn't take you too long - I guess about an hour of your time.
If you are available and if you are interested in such research I will let you know my specialization in coaching as well as a few related keywords to jump-start your thinking.

Please don't start your research in advance, before coming to an agreement and contract. It's not the kind of job where you have to deliver anything before getting chosen! You couldn't possibly know my fields of expertise with regards to coaching yet.

What I'm looking for - in cooperation with the chosen researcher - are as follows:
- based on my coaching specialization - and the keywords I provide - try to come up with well sounding website names (for example: successcoaching.com, excellentcoaching.com, coachingexcellence.com, effective-coach.com, etc.)
- check whether those .com domain name is available or occupied (https://instantdomainsearch.com/ or any other sites that shows if a domain is free or taken)
- come back to me with a list of 5-10 available catchy .com domain names

Nothing else is required. I will register that domain myself in Hungary.
I need this assistance, because I have been checking a few catchy names, but all of them were occupied.

Future cooperation is possible with the freelancer in case of mutual satisfaction: when I'm about to create content to my coaching website I will need further research in form of competitor analysis, but it will be the scope of a separate job/workstream.

Freelancers preferred with specialization (skills) in internet research and virtual assistance.

Thanks for reading my proposal and for submitting reasonable offers.