The iTaste VV3 (two on the left) are considered small mods with internal batteries. The two on the right are considered "ego" style batteries, also using an internal battery. Both are considered to be "disposable" once their battery dies.
You have two options:
A mod which uses external replaceable rechargeable batteries (below). Advantage here is when the batteries go bad, you just buy new batteries for only like $6 -10 each, and continue to use the same mod. You will need multiple
IMR batteries (at least two) and a
box charger (about $20) to charge those batteries. Probably the better choice for the committed "long term" vaper. These batteries can be expected to last 1 - 2 years, the mod should last double that or longer.
Battery Basics for Mods: IMR or protected ICR?
mod with external batteries
A mod which uses internal rechargeable batteries (below). Advantage is the battery is charged with a USB charger like your eGo batteries, so you don't need to buy a separate box charger for about $20. Disadvantage here is once the battery dies, the entire mod is useless. Battery life expectancy is likely 8 - 12 months daily use.
mod with internal battery
Both options above are going to be significantly larger than what you have been using. Both options considered an upgrade. With vaping, the bigger the battery the better the vape and the longer you can vape.
Advancing Up the Vaping Ladder