There are many home care options, and knowing the differences between the different types of services and service providers can aid you in making the right decision.
The post the fare schedule for each city on their website. e.g. here is Lyft Boston $2.25 + $1.50 per mile and $.30 per minute. It's hard to say what a typical ride is. In my experience Lyft is always cheaper than a Boston cab. UberX is sometimes cheaper as long as surge pricing is not turned on.
Lyft and UberX are very similar in cost. While both companies offer a range of more expensive, premium rides in luxury SUVs and limos, a basic ride will cost you about the same in Lyft as it will in UberX. While costs vary city-to-city for Uber and Lyft, rides are generally $1 to start, $1.50/mile, and $0.25/min. I tell my passengers that a rule-of-thumb cost is, about $2/mile, or, 20-30% cheaper than traditional taxicabs.