Tarbell was written as a Correspondence Course just like the original 13 Steps to Mentalism; short lessons shared over a period of time (I think Tarbell was a 5 year study system if I remember the story right), it quickly became an encyclopedic set however and even after the Mark Wilson course came along, remained the most recommended study course of magic for at least a decade. I really amazes me that it no longer gets mentioned as it once was, but then few in today's world know about the Rice Encyclopedias, Magic & Showmanship or other such "standards" of my day. (talk about feeling old. . .)
Parlor Magic is merely a term that refers to anything you can do in a living-room area for a small group. The "Style" as it were, did lean towards the idea of being a kind of show-case such as you'd find with anyone doing a Piano or Violin program or for that matter, demonstrations in Mesmerism as well as Oratory. When it comes to magic the better known performers of this vein started with classic Billiard Ball, Thimble, Playing Card and other small item manipulations so as to establish themselves to the audience and likewise preview -- give a sneak-peek so to speak -- when it comes to their skill level.
Featured Effects in this setting could actually prove a bit 'large' given that bits like Spirit Cabinets, certain escapes as well as penetrations were quite common -- rope or ribbon through lady, pillory escape and of course any number of head chopper type props as well as classics like the Die Box, Dancing Hank, and Rope Magic.
With this in mind I would encourage you to look at the writings of Eugene Burger, Jeff McBride and maybe even dig deeper into the archives so as to see how some of the better known historic figures of the past worked this social niche. I know San Francisco mage James Hamilton has done a reproduction of the original Hermann parlor & stage act for most of the past 30 years and there are a few others out there who mimic Okito, Nikolta and even Houdini (who actually did a lot of "private party" type programs).
When it Comes to Actual Effects. . . NO ONE can tell you what's "best" in that they are not you -- YOU are the only person that can figure out routines & effects that "fit" your personality and likewise what will slowly become your "style". If I'm understanding your post correctly, you're "new" to this stuff and seek a bit of direction which leads me to reiterate a previous encouragement -- Learn All You Can About Manipulation Skills FIRST!. Not only is such the foundation of Parlor & Close-up Magic but with a solid understanding and skill level you can literally work anywhere with next to nothing outside a gift for gab and some favored routine sequences (including patter) that you've played with over the years. Bill Malone is one of the best examples of this when it comes to people I've known over the years; in his teens & early 20's Bill had Edd Marlo challenging him constantly when it came to slights and I believe Bill could sleeve a small elephant back in those days he was so good. While he took his time doing so, look where it's brought him.
Don't worry about the tricks, learn the foundation material & techniques first knowing that everything else will fall into place as you progress.