As Derek-san has kindly suggested, the best way to learn Kana is by memorizing the FIRST row, and the FIRST column of the Hiragana table (when laid horizontally - reading across from upper left)
__*あいうえお*__ _(a, i, u , e, o)_
*__か__*きくけこ _(ka, ki, ku, ke, ko)_
*__さ__*しすせそ_(sa, si [shi], su, se, so)_
*__た__*ちつてと _(ta, ti [chi], tu [tsu], te, to)_
*__な__*にぬねの_(na, ni, nu, ne, no)_
*__は__*ひふへほ_(ha, hi, hu [fu], he, ho)_
*__ま__*みむめも _(ma, mi, mu, me, mo)_
*__や__*--ゆ--よ_(ya, --- yu, --- yo)_
*__ら__*りるれろ_(ra, ri, ru, re, ro)_
*__わ__*--------を _(wa, --- --- --- wo [o])_
Start by memorizing the FIRST ROW - which are all vowels _*a, i, u, e, o*_
And then, memorize the order of syllables in the FIRST COLUMN on the left: *_a, ka, sa, ta, na, ha, ma, ya, ra, wa, n_*
(Note: that all the syllables in the First column end with the vowel _*'a'*_ except for the last *_'N'_* ん)
Once you've got those memorized, you can produce all the KANA simply by combining the consonants of the first column with each of the vowels. (EXCEPT for the last *_'N'_*)
__*あいうえお*__ :arrow: _*__a__, __i__, __u__, __e__, __o__*_
__*かきくけこ*__ :arrow: _*k__a__, k__i__, k__u__, k__e__, k__o__*_
__*さしすせそ*__ :arrow: _*s__a__, s__i__ - (sh__i__), s__u__, s__e__, s__o__*_
__*たちつてと*__ :arrow: _*t__a__, t__i__ - (ch__i__), t__u__ - (ts__u__), t__e__, t__o__*_
and so on.
Note that there are some irregular consonants, which are: *し* *_shi_*, *ち* *_chi_*, *つ* *_tsu_*, and *ふ* *_fu_*. You may sometimes see them written *_si, ti, tu, hu_* - which do correspond with the system above.
There are also some blank spots. There used to be none - but 2 from the 'y' row and 3 from the 'w' row are no longer used and are thus not part of the Hiragana table.
Have fun! Sayaka :P