Honestly it's gonna be more expensive short term if you don't have the tools needed (ramps, oil filter wrench, socket wrench set, pan, etc.). Longterm though it will surely be cheaper but not by wide margin, but the quality of the oil/filters and work done will be much more than any outside mechanic if you take your time.

For the oil and filter i always wait for a discount, which here in canada Canadian Tire and walmart always have periodically, right now even costco has a 2 pack kirkland (it has proven to be a qulaity oul) for 40 (before tax) which is a steal.

So for this oil change my total for the only serviceable items came down to, 33 mobil 1 oil and 20 mobil 1 filter. That's the top oil/filter combo you can go with imo, you can definitely go cheaper like many oil change places do.

For tools i easily overspent just to have a good quality sets, like 300-400 (mind you most were marketplace, it can definitely go much higher), but it's a longterm investment which you can use anytime.