Nido,

Can you have a look at my team?  Here it is 

Kardshaeks psychic team #1

Member 1:
Espeon Lv. 100
Item: Twisted Spoon
Attacks: Psychic, Flash, Bite, and Return.

Member 2:
Mewtwo Lv. 100
Item: Bright Powder
Attacks: Solar Beam, Amnesia, Sunny Day, Psychic.

As you might guess I transferred him over from my older version and he was
experienced trained not with unlimited rare candies.  I then suited him up
with the attacks you see.

Member 3:
Lugia Lv. 100 
Item:  Bright Powder
Attacks: Blizzard, Pyschic, Hydropump, Ancient Power

He was hand trained as well.  Ancient Power isn't very powerful but if the
effect works then killing him is nearly impossible.

Member 4:
Pigeot Lv. 100
Item: Bright Powder
Attacks: Wing Attack, Steel Wing, Fly, Thief

In every pokemon game I play I always end up training a Pigeot partially so
that I always have a way to fly.

Member 5:
Typlosion Lv. 100
Item: Charcoal
Attacks: Flamethrower, Dynamic Punch, Strength, Thunder Punch

The first pokemon I trained!  He may be the most balanced member of my team
who has some way to deal with most situations.

Member 6:
Tyranitar Lv. 100
Item: Bright Powder
Attacks: Rockslide, Crunch, Earthquake, Fire Blast

---------------------

Now. beginning with Espeon..
Espeon@Twisted Spoon
Psychic
Flash
Bite
Return


Ok, first off drop Twisted Spoon, basically because, it doesn't raise attack alot..Since Espeon is your starter, use a Miracleberry.

Now, onto the moves...Drop flash and return....Never use any HMs beside Surf on a pokemon you use in party, and Return isn't that useful here, my set would be:

Espeon@Miracleberry
Psychic
Bite
Zap Cannon
Morning Sun

Use psychic on fights and poison types... Use bite against other psychic pokemon, Zap Cannon for Water and Flying type pokemon, and morning sun to recover HP.


Now, onto  pokemon #2

Mewtwo@Bright Powder
Solar Beam
Amnesia
Sunny Day
Psychic

Ok..First off, don't use brightpowder, its not that great either, again, use a Miracleberry.So you don't have to worry about Burns,Freezing,Paralyzation, etc...

The moves, drop Solar Beam and sunny day, and amnesia those are not needed, try using:

Mewtwo@Miracleberry
Ice Beam
Psychic
Recover
Thunderbolt/Dynamicpunch

Ok, use Ice beam to take out flying and ground types, Psychic for fighters, Recover to just keep your hp up, and use Thunderbolt for water and flying types, but you could use dynamic punch instead, for normal and ground types.

Pokemon #3....


Lugia@Bright Powder
Blizzard
Pyschic
Hydropump
Ancient Power

Oi..
Okay, for Lugia, you can use a cheap set, so heres what i say you put on it:

Lugia@Miracleberry
Safegaurd
Recover
Ancientpower
Ice Beam

Lugia is a pokemon that can have many versatile movesets, but I say go with this one, use my favorite Item, Miracleberry, and use Safegaurd for extra protection after you use your miracleberry up, then use Recover  for more staying power, use ancientpower for other flyers and a possible Stat boost. Then, use Ice Beam for ground types  and other flyers.

Pokemon #4

Pigeot@Bright Powder
Wing Attack
Steel Wing
Fly
Thief

Ok, pidgeot, yet again, no HM, so you may want to replace him with someone else, but if you want pidgeot, then use this:

Pidgeot@Leftovers
Whirlwind
Wing Attack
Double Team
Attract

Ok, this is what I call a hazer, it stops cursers and Double-Teamers, use Whirlwindto gust them out for another pokemon, use wing attack for Grass  and Fighting types,use double team to raise your evasion, then use attract on a pokemon of the opposite gender, to keep their chances of attacking down.

Pokemon 5...


Typlosion@Charcoal
Flamethrower
Dynamic Punch
Strength
Thunder Punch

Ok...Drop Charcoal for Leftovers...also drop strength and Thunder Punch...

Typhlosion@Leftovers
Dynamicpunch
Flamethrower
Earthquake
Swagger

Use dynamic punch to takeout normal and ground types, Flamethrower for Steel and Grass types, Earthquake for Electric types, and swagger to mess up your opponents.


Pokemon #6

Tyranitar@Bright Powder
Rockslide
Crunch
Earthquake
Fire Blast

Meh, drop Brightpowder for leftovers...
Go with this:

Tyranitar@Leftovers
Fire Blast
Earthquake
Crunch
Thunderbolt(Move tutor)

Use fire blast for for steel and ice types, Earthquake for other ground types and electrics, crunch for psychic types, and thunderbolt for flyers and water types.


Okay, thats all for now, peace out!
-NKR2K