Liverpool to Holyhead

Why not take the train? From Liverpool Central to Holyheadnis a journey of under 3 hours. The train makes numerous stops in Sales, including Conwy, should you want to make an overnight stop to explore. The train would be far less expensive than a private driver for that distance.

Liverpool Airport to Holyhead all the way by taxi (or similar) will be very expensive, I reckon about 300 pounds since it's 100 miles away.
How much time do you have for the journey? A stop in Chester would make a lot of sense; you can take a taxi at Liverpool Airport to go there - not the cheapest at approx 60-80 pounds, but very quick (30-45 minutes in light traffic). You would then have to figure out luggage storage to sightsee a little until you take the train to Holyhead, again quite fast (less than 2 hours)

are you planning on a night in Holyhead or planning to board the ferry when you arrive in Holyhead? What time is your ferry? What time are you scheduled to land at Liverpool airport (I don't use the name since they changed it)?

Since you were talking about a minivan, how many are in your group?

I don't believe that there is Uber in Liverpool (but the airport isn't in Liverpool anyway - the train station for the airport is Liverpool Airport Parkway, and loads of trains stop there).

Planning on taking the 2:00 pm ferry, leaving Liverpool around 8:30 am. 2 people 4 pieces of luggage (2 big, 2 carry on). We were thinking about the train, but apparently you have to transfer at certain point and move luggage. Thanks for all the responses!

Not certain what you mean by “important sights.” On Anglesey itself is the South Stack lighthouse, numerous Neolithic sites, Beaumaris castle and of course the town with the really long name, Llanfair…gogogoch. If you like windmills, there is the Llynon windmill. Near Anglesey are Conwy and Caernarfon castles. Llandudno is a nice town to walk around. Another popular place to visit is Portmeirion. Can’t help with tours since we had a rental car.

With this timeframe, you do not have much time for sightseeing given that there is a check-in requirement for the ferry. Best to plan for lunch in Holyhead!

I'm still not sure if you are going from Liverpool airport or the centre of Liverpool.

By train it is either two connections but lots of one connections available, changing just at Chester. I sorry that all that luggage (2 big (how big is big???) and 2 carryon) will be like an albatross around your necks for any stops.

If you hadn't had it I would have suggested a break there, you have a little time, to look around the fabulous Roman walled city with the unique Rows of 2 storey galleried walkways and shops.

But since Chester station doesn't have a Left Luggage service, and there are no lockers on any UK railway station since the Troubles, you won't want to do that...

You could arrive 15 or 30 minutes ahead of your onward train by taking an earlier first train which will make a much easier for you. With that much luggage I wouldn't want to try to make a 7 minute connection. Some platforms are adjacent but some aren't.