I've still managed not to keep up with the latest technology.
I really respect that! Regarding Tmobile, it depends on what plan you have and what countries you plan to visit. The least expensive plans will not have international coverage, unless you buy an International Pass. If you have a more expensive plan, it will include unlimited texting and very cheap calling in 216 countries. It may give you high speed data in 11 countries, so you'd need to know if the countries you visit are in those 11. If not, then I believe the 30 day international pass is $50. That's more than most any esim plan. You can get data-only esims for $10 to $40 depending on the amount of data and what countries. But the convenience of just giving Tmobile $50 may be worth the money.
As mentioned, a cheap esim for data, and using your normal Tmobile plan for texting and calling (using Wifi calling), is a very popular strategy. You really do want your home number to stay active in case you need to make/receive calls to/from financial institutions, medical people, family emergency, etc...
Also note that you can't use an esim unless your phones are unlocked. If you got them from Tmobile, they may very well be locked to Tmo. Your local Tmobile shop could tell you, and possibly unlock them.
So first, I'd suggest looking at all the details of the Tmobile account you have.