Alagarve 365 are superb and reliable
Yellow fish have a stand in the airport- easy contact point for travellers with children so easy to find. also used algarve taxi transfers before they were good but you need to say if you want them to use motorway for a faster journey but costs a bit more but good after a flight with tired children also look at the airport website for info on companies that do transfers. also last time used the Uber taxi app but u have to arrange a pick up point as they don’t wait in the airport with a name card but met them by outside cafe & around €55. There is a complimentary bus & a train that goes to Portimao (near Pria da Rocha) which is very cheap (under €10 each - but probably more of a single person or adult travel option.