From my own current collection: I would choose 1. Black Caviar Jumbo Flap, 2. Damier Neverfull GM, and 3. Trevi pm.

balenciaga WORK
lv SPEEDY 30
balenciaga BRIEF

These I own:
Alma Ivorie
Speedy Monogramouflage
Speedy Brown Watercolor
dream bag (Blue Suhali Le Fab)...sorry, I cheated..

Mono Speedy 40
Baleniaga Work with Giant Hardware
Hermes Birkin 35

Can't stick to 3, only 3 of different purposes

Shoulder:

-LV Galliera GM
-LV Black Epi Large Randonnee
-LV Stephen (Mono or dark Brown Embossed)

Clutch

-Hermes Jige PM or the next larger (MM?)
-Small vintage quilted Chanel I have, looks likes itty bitty briefcase with hand held or shoulder chain
-Casual - a Man bag in Mono, can't recall the name, basicall rectangular zip-around with large wrist-loop. May be discontinued?

Sorry HAD to cheat!!!!!!

My rose pochette, cherry speedy, and my neverfull. They are the only lv's I own.

out of the ones I own

1. Yellow Epi St Jacques PM (the hand held one)
2. Black Epi Alma
3. Mini Lin Ebene Saumur

I am enjoying the interesting and varied responses. Keep them coming!

looks like a mono eva is a MUST HAVE!!!

thats right!

From my collection:
1) black chanel jumbo classic flap in caviar
2) blk chanel lambskin large classic flap
3) Manhattan GM (never bring it out -- but its nice to look at !!!)

and if i'm not limited to the three, i would say all the other chanels in my closet and eventually a birkin (currently on my birkin hunt now)!

out of my collection, i would choose

1) vernis Houston in Pomme d'amour
2) vernis Rosewood Ave in Amarante
3) white multicolore Trouville

If its only LV:

Speedy damier 25 (own)
Keepall graphite 45
Limelight -any!!

For other brands:
Champagne Bayswater Mulberry (on its way)
Birkin 30 black with funky interior
Chanel flap

1) MC Speedy in White (have it)
2) Mahina L Noir (getting it this week!)
3) Neverfull MM Damier (have it)

I could never just have three, but these would be my choices!

bloomsbury pm (mommy needs to be hands free most of the time)
suhali lockit pm (work bag)
mahina L (this i still need to get!)

1. Manhattan PM
2. Neverfull MM Moca
3. Cherry Blossom Papillon brown (never ever used - but I her)

berkin!!!
berkin!!!
berkin!!!