Not palm reading but Psalm Reading, for any event where there are unchurched people. It has been used in Lichfield Diocese at Fayres, Garden Parties, Missions and the Stafford Show.

12 coloured cards, each printed with one meaningful psalm verse, are laid out on a cheerful table, and if outdoors, are anchored wiht a small stone.
Print out 12 different verses from psalms which have something meaningful to say (e.g. 27:1, 46:1 etc), about 12 to a side of A4 so each verse is on different coloured card.
Most passers-by will be happy to choose a card when invited, perhaps encouraged by a phrase such as, 'Which colour or stone is drawing you to it?' They then naturally read the card. A gentle question, such as 'might that mean anything to you today?' can open a conversation. Sometimes no words are necessary and its private between them and God.
Useful verses include psalms:
| 8:3,4 | 19:14 | 23:1-3 | 27:1 |
| 32:9 | 34:8 | 34:18 | 46:1 |
| 46:10 | 73:23 | 84:5 | 119:105 |